Answer:
λ₁ = 1, λ₂ = 2, λ₃ = -1
This is the origin condition value
Step-by-step explanation:
Given that
A = [tex]\left[\begin{array}{ccc}0&1&0\\0&0&1\\-2&1&2\end{array}\right][/tex]
given one Elegen value is 1
Let λ₁ = 1
its known that
λ₁ + λ₂ + λ₃ = trace
1 + λ₁ + λ₃ = 0 + 0 + 2
λ₂ + λ₃ = 1 (eqn 1)
λ₁ . λ₂ . λ₃ = /A/
where
/A/ = -1(2)
/A/ = -2
λ₂ . λ₃ = -2 (eqn 2)
solve eqn 1 and eqn 2
λ₂ = 2, λ₃ = -2
therefore
λ₁ = 1, λ₂ = 2, λ₃ = -1
this is the origin condition value
